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Toposes Are Adhesiveto study techniques from process algebra for reasoning about concurrency. Here we continue our study of adhesive categories by showing that toposes are adhesive. The proof relies on exploiting the relationship between adhesive categories, Brown and Janelidze’s work on generalised van Kampen theorems

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Graph Transactions as Processesecution for computations. A typing mechanism induces a distinction between stable and unstable items, and a . is defined as a shift-equivalence class of computations such that the starting and ending states are stable and all the intermediate states are unstable..The paper introduces an equivalent,

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Categorical Foundations of Distributed Graph Transformationrphisms .(.): .(..) →.(..) to nodes .., .. and edges .: .. →.. in ...Although there are several interesting applications of distributed graphs and transformations, even the basic pushout constructions for the double pushout approach of distributed graph transformation could be shown up to now only i

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Dynamic Graph Transformation Systemsarts of the type graph and fresh productions operating on it. The features of DynGGs make them suitable for the straightforward modeling of reflexive mobile systems like dynamic nets and the . calculus. Our main result shows that each DynGG can be modeled as a (finite) GG, so that the dynamically ge

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Autonomous Units and Their Semantics — The Sequential Casen interactively but independently of each other in a common environment. The emphasis of the approach is laid on the study of the formal semantics of a community as a whole and of each of its member units separately. We concentrate on the sequential case where only one unit can act at a time and the